45916928928 has 72 divisors (see below), whose sum is σ = 140620606308. Its totient is φ = 14128284672.

The previous prime is 45916928909. The next prime is 45916928929. The reversal of 45916928928 is 82982961954.

45916928928 is a `hidden beast` number, since 459 + 1 + 6 + 92 + 8 + 92 + 8 = 666.

45916928928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45681367824 + 235561104 = 213732^2 + 15348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45916928929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6128325 + ... + 6135812.

Almost surely, 2^45916928928 is an apocalyptic number.

45916928928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45916928928 is an abundant number, since it is smaller than the sum of its proper divisors (94703677380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45916928928 is a wasteful number, since it uses less digits than its factorization.

45916928928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12264166 (or 12264155 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 45916928928 in words is "forty-five billion, nine hundred sixteen million, nine hundred twenty-eight thousand, nine hundred twenty-eight".